27 citations · 33 across the 3 of their papers we have counts for
11 papers
Geometrical methods in loop calculations and the three-point function
A. I. Davydychev
A geometrical way to calculate N-point Feynman diagrams is reviewed. As an example, the dimensionally-regulated three-point function is considered, including all orders of its epsi…
Analytical evaluation of certain on-shell two-loop three-point diagrams
A. I. Davydychev, V. A. Smirnov
An analytical approach is applied to the calculation of some dimensionally-regulated two-loop vertex diagrams with essential on-shell singularities. Such diagrams are important for…
Three-body phase space: symmetrical treatments
A. I. Davydychev, R. Delbourgo
We derive expressions for three-body phase space that are explicitly symmetrical in the masses of the three particles, by three separate methods.
Geometrical approach to loop calculations and the epsilon-expansion of Feynman diagrams
A. I. Davydychev, M. Yu. Kalmykov
Some problems related to the structure of higher terms of the epsilon-expansion of Feynman diagrams are discussed.
Hadronic corrections to the muon decay
A. I. Davydychev, K. Schilcher, H. Spiesberger
We consider the O(alpha^2) hadronic corrections to the energy spectrum of the decay electron in muon decay. We find that the correction can be described, within good approximation,…
Geometrical approach to Feynman integrals and the epsilon-expansion
A. I. Davydychev
Application of the geometrically-inspired representations to the epsilon-expansion of the two-point function with different masses is considered. Explicit result for an arbitrary t…